0=2r^2-18r-44

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Solution for 0=2r^2-18r-44 equation: 


Simplifying
0 = 2r2 + -18r + -44

Reorder the terms:
0 = -44 + -18r + 2r2

Solving
0 = -44 + -18r + 2r2

Solving for variable 'r'.

Combine like terms: 0 + 44 = 44
44 + 18r + -2r2 = -44 + -18r + 2r2 + 44 + 18r + -2r2

Reorder the terms:
44 + 18r + -2r2 = -44 + 44 + -18r + 18r + 2r2 + -2r2

Combine like terms: -44 + 44 = 0
44 + 18r + -2r2 = 0 + -18r + 18r + 2r2 + -2r2
44 + 18r + -2r2 = -18r + 18r + 2r2 + -2r2

Combine like terms: -18r + 18r = 0
44 + 18r + -2r2 = 0 + 2r2 + -2r2
44 + 18r + -2r2 = 2r2 + -2r2

Combine like terms: 2r2 + -2r2 = 0
44 + 18r + -2r2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(22 + 9r + -1r2) = 0

Factor a trinomial.
2((11 + -1r)(2 + r)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(11 + -1r)' equal to zero and attempt to solve:

Simplifying
11 + -1r = 0

Solving
11 + -1r = 0

Move all terms containing r to the left, all other terms to the right.

Add '-11' to each side of the equation.
11 + -11 + -1r = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1r = 0 + -11
-1r = 0 + -11

Combine like terms: 0 + -11 = -11
-1r = -11

Divide each side by '-1'.
r = 11

Simplifying
r = 11

Subproblem 2
Set the factor '(2 + r)' equal to zero and attempt to solve:

Simplifying
2 + r = 0

Solving
2 + r = 0

Move all terms containing r to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + r = 0 + -2

Combine like terms: 2 + -2 = 0
0 + r = 0 + -2
r = 0 + -2

Combine like terms: 0 + -2 = -2
r = -2

Simplifying
r = -2
Solution
r = {11, -2}

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